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Finding the Fourth Proportional to 2,751.86, 3,796.03 and 1,631.72

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Solution

The fourth proportional to 2,751.86, 3,796.03 and 1,631.72 is: 2,250.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,751.86 : 3,796.03 = 1,631.72 : x
  2. Step 2: Convert to fraction form
    2,751.86/3,796.03 = 1,631.72/x
  3. Step 3: Cross multiply
    2,751.86x = 3,796.03 × 1,631.72
  4. Step 4: Simplify right side
    2,751.86x = 6,194,058.07
  5. Step 5: Solve for x
    x = 6,194,058.07/2,751.86
  6. Step 6: Final answer
    x = 2,250.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.